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Finding the Fourth Proportional to 3,742.90, 5,163.02 and 2,343.22

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Solution

The fourth proportional to 3,742.90, 5,163.02 and 2,343.22 is: 3,232.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.90 : 5,163.02 = 2,343.22 : x
  2. Step 2: Convert to fraction form
    3,742.90/5,163.02 = 2,343.22/x
  3. Step 3: Cross multiply
    3,742.90x = 5,163.02 × 2,343.22
  4. Step 4: Simplify right side
    3,742.90x = 12,098,091.72
  5. Step 5: Solve for x
    x = 12,098,091.72/3,742.90
  6. Step 6: Final answer
    x = 3,232.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.